We calculate the spectrum and allowed E1 transitions of the superheavy element Og (Z=118). A combination of configuration interaction (CI) and perturbation theory (PT) is used (Dzuba et at. Phys . Rev. A, 95, 012503 (2017)). The spectrum of lighter analog Rn I is also calculated and compared to experiment with good agreement.

The existence of permanent electric dipole moments (EDMs) and magnetic quadrupole moments (MQMs) violate both time reversal invariance (T ) and parity (P ). Following the CP T theorem they also violate combined CP symmetry. Nuclear EDMs are completely screened in atoms and molecules while interaction between electrons and MQMs creates atomic and molecular EDMs which can be measured and used to test CP-violation theories. Nuclear MQMs are produced by the nucleon-nucleon T, P -odd interaction and by nucleon EDMs. In this work we study the effect of enhancement of the nuclear MQMs due to the nuclear quadrupole deformation. Using the Nilsson model we calculate the nuclear MQMs for deformed nuclei of experimental interest and the resultant MQM energy shift in diatomic molecules of experimental interest 173 YbF , 177,179 HfF + , 181 TaN, 181 TaO + , 229 ThO and 229 ThF + .The observed matter-antimatter asymmetry in the universe is an important open question in modern physics. Three necessary conditions were postulated by Sakarhov[1] including the requirement that combined charge and parity (CP ) symmetry is violated. While the current standard model (SM) includes a CP -violating mechanism through a CP -violating phase in the CKM matrix [2] this alone is insufficient to account for the observed matter anti-matter asymmetry by several orders of magnitude (see e.g. Refs. [1,[3][4][5][6][7]). Therefore, other sources and mechanisms of CP -violation beyond the current SM must exist and investigating these will give insight into new physics.The violation of CP symmetry was first detected in the decay modes of the kaon system [8] and more recently in the B meson sector [9, 10] however detection of CP -violation in other systems has not been confirmed. By the CPT theorem a mechanism which violates combined CP symmetry must also violate time-reversal (T ) symmetry. Therefore, the existence of permanent electromagnetic moments which violate T symmetry is a promising avenue for constraining theories which incorporate a higher degree of CP -violation than the SM such as supersymmetric theories which has already been tightly constrained by current experimental limits for electric dipole moments (EDMs) [5,11,12].CP -violating permanent electrodynamic moments are expected to be observed in composite particles and systems such as atoms, nuclei and baryons and interpreted as parameters of CP -violating interactions in the lepton and quark-gluon sectors. In this paper we focus on the magnetic quadrupole moment (MQM) of the nucleus in particular, which is the lowest order magnetic moment that is forbidden in quantum systems by the time reversal invariance (T ) and parity (P ). For an in-depth review on symmetry violating electromagnetic moments including the MQM see Ref. [5,[13][14][15][16][17]. The MQM of composite systems such as the deuteron [18] have previously been investigated. The search for MQM in comparison with the electrostatic T, P -violating moments (EDM, Schiff and octupole moments) may have the following advantages:• The n...

We calculate the spectra, electric dipole transition rates and isotope shifts of the super heavy elements Ds (Z = 110), Rg (Z = 111) and Cn (Z = 112) and their ions. These calculations were performed using a recently developed, efficient version of the ab intio configuration interaction combined with perturbation theory to treat distant effects. The successive ionization potentials of the three elements are also calculated and compared to lighter elements.

We use recently developed efficient versions of the configuration interaction method to perform ab initio calculations of the spectra of superheavy elements seaborgium (Sg, Z = 106), bohrium (Bh, Z = 107), hassium (Hs, Z = 108) and meitnerium (Mt, Z = 109). We calculate energy levels, ionization potentials, isotope shifts and electric dipole transition amplitudes. Comparison with lighter analogs reveals significant differences caused by strong relativistic effects in superheavy elements. Very large spin-orbit interaction distinguishes subshells containing orbitals with a definite total electron angular momentum j. This effect replaces Hund's rule holding for lighter elements.

We introduce the weak quadrupole moment of nuclei, related to the quadrupole distribution of the weak charge in the nucleus. The weak quadrupole moment produces a tensor weak interaction between the nucleus and electrons and can be observed in atomic and molecular experiments measuring parity nonconservation. The dominating contribution to the weak quadrupole is given by the quadrupole moment of the neutron distribution, therefore, corresponding experiments should allow one to measure the neutron quadrupoles. Using the deformed oscillator model and the Schmidt model we calculate the quadrupole distributions of neutrons, Qn, the weak quadrupole moments, Q(2) W , and the Lorentz Invariance violating energy shifts in Non-spherical nuclei present a lucrative avenue for studying the existence and magnitude of second order tensor properties due to the collective properties of deformed nuclei. In this work we focus on the quadrupole moment of the nonspherical distribution of neutrons in the nucleus, Q n , the weak quadrupole moment (WQM), Q(2) W , and the violation of Local Lorentz invariance (LLI) in the nucleon sector. These properties have yet to be experimentally detected though there are constraints for violation of LLI. In this work we will show how these properties are enhanced in deformed nuclei and therefore present a new possibility for measurement or developing further constraints on their existence. In Section I we calculate the the neutron quadrupole moment of the nucleus (NQMN) and local Lorentz invariance violation (LLIV) in deformed nuclei using the Nilsson model. In Section II we discuss NQMN and LLIV in nuclei with a small deformation and in Section III we discuss the NQMN and WQM in parity nonconserving (PNC) effects.Measuring the NQMN, Q n , is a very difficult task as neutrons are electrically neutral particles unlike the electric quadrupole moment of the nucleus which was first observed and measured nearly a century ago by H. Schuler and Th. Schmidt [1-3] by studying the hyperfine structure of rare earth elements. The NQMN is an important property which will give insight not only into the structure of atomic nuclei but also other dense collections of neutrons such as neutron stars [4][5][6][7] and also the theory of atomic parity nonconservation. For the last two decades there has been increasing interest in understanding the distribution of neutrons compared to protons in atomic nuclei known as the neutron skin. This focus has largely been on the spherical distribution of neutrons (measurement of the root mean square radius of neutrons) and there has been a large amount of experimental effort in measuring the spherical distribution [8][9][10][11].The PNC effects appear due to mixing of opposite parity states in atoms and molecules by the weak interaction between the nucleus and electrons. The field of PNC in atoms and molecules has been thoroughly reviewed in Refs. [12][13][14]. It was noted in Ref.[15] that the nuclear quadrupole moment induces a tensor PNC weak interaction between the nucleus an...